7 5 graphing parabolas standard form
This presentation is the property of its rightful owner.
Sponsored Links
1 / 11

7.5 Graphing Parabolas (Standard Form) PowerPoint PPT Presentation


  • 74 Views
  • Uploaded on
  • Presentation posted in: General

7.5 Graphing Parabolas (Standard Form). Today’s Date: 1/13/12. Notes on Handout. Ch 7.5 – 7.7 BIG QUIZ is on Fri 1/20. Graphs of Parabolas. “Normal” Vertex (0, 0) Right 1 Up 1 Left 1 Up 1 Right 2 Up 4 Left 2 Up 4. “Skinny”. “Wide”. Properties of Parabolas. Standard Form:.

Download Presentation

7.5 Graphing Parabolas (Standard Form)

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


7 5 graphing parabolas standard form

7.5 Graphing Parabolas (Standard Form)

Today’s Date:

1/13/12

Notes on Handout

Ch 7.5 – 7.7 BIG QUIZ is on Fri 1/20


Graphs of parabolas

Graphs of Parabolas

“Normal”

Vertex (0, 0)

Right 1 Up 1

Left 1 Up 1

Right 2 Up 4

Left 2 Up 4

“Skinny”

“Wide”


Properties of parabolas

Properties of Parabolas

Standard Form:

1) Which way does it open? Wide or skinny?

“a” is positive – opens UP

“a” is negative – opens DOWN

│a│> 1 skinny

│a│< 1 wide

│a│= 1 normal

 fraction


Properties cont

Properties cont…

2) Axis of Symmetry (A of S)

3) Vertex:


Properties cont1

Properties cont…

4) Is the vertex a MAXIMUM or MINIMUM point?

a = (–)

If opens down, vertex is MAX

If opens up, vertex is MIN

a = (+)

5) Extreme value:

“y” part of the vertex


Properties cont2

Properties cont…

( , 0)

when y value is zero

6) x-intercepts:

7) y-intercepts:

( 0, c)

c is y-intercept from SF

  • Table of values:

    • (only if you need to)

x

y

9) Graph


Ex 1 graph

Ex 1) Graph

1) Which way does it open? Wide or skinny?

“a” = 3 is positive

– opens UP

│3│> 1

→ skinny

Equation!!

2) Axis of Symmetry (A of S)


Ex 1 cont

Ex 1 cont…

3) Vertex:

4) Is the vertex a MAXIMUM or MINIMUM point?

a = (+) Opens up, vertex is MIN

5) Extreme value:


Ex 1 cont1

Ex 1 cont…

( , 0)

6) x-intercepts:

7) y-intercepts:

( 0, 1)


Ex 1 cont2

Ex 1 cont…

  • Graph

    • Use the A of S

    • Normal: Up 1 right 1

    • a = 3: Up 3 right 1

    • Up 3 left 1

  • Table of Values:

  • Didn’t need it, but if you do, choose easy points for x and solve for y

  • Usually: Choose -2, -1, 0, 1, 2 for x


Homework

Homework

#708

Practice Properties WS


  • Login